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Finding the Third Proportional to 1,630,955.25 and 3,530,706.47

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Solution

The third proportional to 1,630,955.25 and 3,530,706.47 is: 7,643,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,955.25 : 3,530,706.47 = 3,530,706.47 : x
  2. Step 2: Convert to fraction form
    1,630,955.25/3,530,706.47 = 3,530,706.47/x
  3. Step 3: Cross multiply
    1,630,955.25x = 3,530,706.47 × 3,530,706.47
  4. Step 4: Simplify right side
    1,630,955.25x = 12,465,888,168,473.09
  5. Step 5: Solve for x
    x = 12,465,888,168,473.09/1,630,955.25
  6. Step 6: Final answer
    x = 7,643,304.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.